Salut! ♡
✎ Calculați: ( | 3⁵⁰ - 5⁷⁵ | + 3⁵⁰ ) × ( 3⁹⁰ - | 3⁹⁰ - 5⁶⁰ | ) : 5¹³⁵.
❀ Explicație pas cu pas
❀ Rezolvare
( | 3⁵⁰ - 5⁷⁵ | + 3⁵⁰ ) × ( 3⁹⁰ - | 3⁹⁰ - 5⁶⁰ | ) : 5¹³⁵ =
[ | ( 3² )²⁵ - ( 5³ )²⁵ | + 3⁵⁰ ] × [ 3⁹⁰ - | ( 3³ )³⁰ - ( 5² )³⁰ | ] : 5¹³⁵ =
( | 9²⁵ - 125²⁵ | + 3⁵⁰ ) × ( 3⁹⁰ - | 27³⁰ - 25³⁰ | ) : 5¹³⁵ =
( 5⁷⁵ - 3⁵⁰ + 3⁵⁰ ) × ( 3⁹⁰ - 3⁹⁰ + 5⁶⁰ ) : 5¹³⁵ =
5⁷⁵ × 5⁶⁰ : 5¹³⁵ = 5⁷⁵ + ⁶⁰ - ¹³⁵ = 5¹³⁵ - ¹³⁵ = 5⁰ = 1